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Math Help - sum of 3 heights perpendicular to the 3 sides ?

  1. #1
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    sum of 3 heights perpendicular to the 3 sides ?

    The sides of a triangle are:
    a = 12 cm., b = 10 cm, c = 8 cm

    What is the sum of the 3 heights each perpendicular to the 3 sides ?

    The answer is 24.27. I think I can solve it if I understood the problem. But I can't, I am from a non-English speaking country. Maybe struggling with how the sentence was constructed. Could someone help me out ?

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  2. #2
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    Quote Originally Posted by dugongster View Post
    The sides of a triangle are:
    a = 12 cm., b = 10 cm, c = 8 cm

    What is the sum of the 3 heights each perpendicular to the 3 sides ?

    The answer is 24.27. I think I can solve it if I understood the problem. But I can't, I am from a non-English speaking country. Maybe struggling with how the sentence was constructed. Could someone help me out ?

    Dear dugongster,

    Please refer to the attached figure. From the vertices of the traingle draw perpendiculars to it's sides. You have to find the sum of these three perpendiculars. i.e: AF+BE+CD
    Attached Thumbnails Attached Thumbnails sum of 3 heights perpendicular to the 3 sides ?-sp1.pdf  
    Last edited by Sudharaka; December 5th 2010 at 03:00 AM.
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  3. #3
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    Hi dugongster,
    use the following formula to find area

    s= 1/2 of perimeter A = area
    A= sqrt of s(s-a)(s-b)(s-c) where abc are the sides
    write three equations for area using a different side and its correponding altitude .Calculate the lenghts of each altitude and add them


    bjh
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